Vol. 67, No. 2, 1976

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
Principal and induced fibrations

Cheong Seng Hoo

Vol. 67 (1976), No. 2, 389–400
Abstract

In this paper, the following is proved.

Theorem. Let F→iE→pB be a fibration in which E and B have the homotopy type of CW complexes. Suppose that F is (n 1) connected and B is (m 1) connected, where m,n 2. Let l = min(m,n), k = min(2m 1,2n). Suppose that there exists a map E ×F E of type (1,i). If πq(B) = 0 for all q n + l, then the fibration is Ganea principal. If further πq(F) = 0 for all q n + k, then the fibration is induced by some map f : B Y for some space Y. The dual is also true.

Mathematical Subject Classification
Primary: 55F05, 55F05
Milestones
Received: 6 December 1975
Published: 1 December 1976
Authors
Cheong Seng Hoo